On the fractional integral inclusions having exponential kernels for interval-valued convex functions

The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte type inequalities. These results allow us to obtain a new class of inclusions which can be viewed as so...

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Veröffentlicht in:Mathematical Sciences 2023-06, Vol.17 (2), p.107-120
Hauptverfasser: Zhou, Taichun, Yuan, Zhengrong, Du, Tingsong
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte type inequalities. These results allow us to obtain a new class of inclusions which can be viewed as some substantial generalizations of the previously reported results. Also, the graphical representations for the results are utilized to identify the correctness of the investigated inclusion relations that occur with the change of the parameter α .
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-021-00445-x